Which of the following is equal to the average of (x+2)^2 and (x-2)^2 a. x^2 b. x^2+2 c. x^2+4 d. x^2+2x e. none of these

C

expand factors, sum like terms and divide by 2

(x + 2)² + (x - 2)² = x² + 4x + 4 + x² - 4x + 4 = 2x² + 8

(2x² + 8 ) = x² + 4 → C

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